You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked

Answer:

See below, please

Step-by-step explanation:

We know

[tex]f(x) = {x}^{2} + 3x - 7[/tex]

[tex]g(x) = 3x + 5[/tex]

[tex]h(x) = 2 {x}^{2} - 4[/tex]

Hence

[tex]f(g(x))[/tex]

[tex] = {(3x + 5)}^{2} + 3 \times (3x + 5) - 7[/tex]

[tex] = (9 {x}^{2} + 30x + 25) + (9x + 15) - 7[/tex]

[tex] = 9 {x}^{2} + 39x + 33[/tex]

[tex]h(g(x))[/tex]

[tex] = 2 \times {(3x + 5)}^{2} - 4[/tex]

[tex]2 \times (9 {x}^{2} + 30x + 25) - 4[/tex]

[tex] = 18 {x}^{2} + 60x + 50 - 4[/tex]

[tex] = 18 {x}^{2} + 60x + 46[/tex]

[tex](h - f)(x)[/tex]

[tex] = h(x) - f(x)[/tex]

[tex] = (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)[/tex]

[tex] = {x}^{2} - 3x + 3[/tex]

[tex](f + g)(x)[/tex]

[tex] = f(x) + g(x)[/tex]

[tex] = ( {x}^{2} + 3x - 7) + (3x + 5)[/tex]

[tex] = {x}^{2} + 6x - 2[/tex]

Answer:

least common denominator=6

Step-by-step explanation:

For the fractions, 1/3 and 1/6th, 3*2=6. making the fraction 2/6 and leaving the other the same 1/6th.

Answer:

$15.49

Step-by-step explanation:

0.75 x 2 = 1.5

1.50 + 13.99 = 15.49

The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.  

Answer: 726 meters²

Step-by-step explanation:

   We will need to find the area of five shapes. The base, the top/bottom, and the two triangle sides.

      The area of a triangle is B * H / 2. Since we have two congruent triangles, I will not be dividing by two.

14 * 24 = 336 meters²

-> This value is for both of the triangle faces

      The rectangular bottom is L * W

14 * 10 = 140 meters²

      The two rectangles for the top and bottom will also be L * W. Since these are congruent, I will find the area of one and multiply it by two.

10 * 25 = 250 meters²

      Now I will add them all together for the total surface area:

336 + 140 + 250 = 726 meters²

  -> I don't see this as an option choice listed. I will review my work, but I am currently confused on the options they provide.

Answer:

IQR

Step-by-step explanation:

I got it right :)

Answer:

he will get 150$

Step-by-step explanation:

you times 500 to 0.1 then times that by 3

Answer:

Surface area is the sum of all areas/faces of a solid, INCLUDING bases.

Lateral surface area is the surface area of a solid WITHOUT bases.

hope this helps :)

Answer:

isaiah must get a score of 115

Answer:

x=8

Step-by-step explanation:

Answer:

44 items in 4 bags means there are 11 items in each bag (44/4).

each bag has 3 erasers + x stickers. So, 3 + x = 11

subtract three from each side of the equation to isolate the variable (x):

3+x-3=11-3

x=8

Answer:

8.2 meters

Step-by-step explanation:

This problem will form a Right angle triangle.

Where;

6.4 m and 5.2 m are the adjacent and opposite sides of the triangle while the distance that Lillian needs to throw the ball to get it to Jenna is the hypotenuse of the right angle triangle. Thus;

h = √(6.4² + 5.2²)

h = √68

h = 8.2

Hope the picture will help you

Answer: $19.59

Step-by-step explanation:

9.91 + 9.68 = 19.59

Answer:

24 units²

Step-by-step explanation:

Given:

To find:

The area enclosed by these lines can be expressed as:

[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]

For:

[tex]\displaystyle \large{\int_2^6 dy}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]

Therefore:

[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]

Now we we have:

[tex]\displaystyle \large{\int_0^6 4dx}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]

for k = constant

Therefore:

[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]

Hence, the area of region is 24 units²

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Answer:

t = 4 s

Step-by-step explanation:

Given function:

[tex]h(t)=-16t^2+48t+64[/tex]

where:

When the ball hits the ground, its height will be 0 ft.

Therefore, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]

As time is positive, t = 4 s (only).

Given

[tex]h = - 16 {t}^{2} + 48t + 64[/tex]

Where:- h= Height of ball (given in feet[ft]) and,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎t= time (in seconds [s])

Time = (t)

We know,

[tex] \text{When the ball hits the ground its height will be 0}[/tex]

[tex] \therefore h(t) = 0[/tex]

[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]

[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]

We know, Time cannot be negative.

So, Time (t) = 4 seconds

Answer:

Step-by-step explanation:

Number of shells she had in the begining = 40

Number of shells collected in the morning and at noon = 6 + 3 = 9

Now the number of shell at the end = 40 + 9 = 49

Icreased shells = 49 - 40 = 90

[tex]\text{Percentage increase = $\dfrac{49- 40}{40}*100$}[/tex]

                                [tex]=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%[/tex]

Answer:

3 un wer

8 lnter

12 jin

Step-by-step explanation:

of the corret anwer

Answer:

466,207,795.2 cm^3

Step-by-step explanation:

The equation to find both, the volume of the sphere and cube, are given.

The sphere:

V = [tex]\frac{4}{3}[/tex]πr^3

the radius is 7 ft therefore

V =  [tex]\frac{4}{3}[/tex]π7^3

The problem says to use 3 for pie therefore

V =  [tex]\frac{4}{3}[/tex](3)7^3

7 to the power of three is

V = [tex]\frac{4}{3}[/tex](3)343

[tex]\frac{4}{3}[/tex] and 3 cancel each other out to equal 4

V = 4 × 343

V = 1,372 ------> volume of sphere

______________________________________________

The cube:

V = Legth × width × height

V = 12 × 12 × 12

V =  1,728 ------> volume of cube

_______________________________________________

Total volume:

1,372 + 1,728 = 3,100 ft^3

But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)

3,100 ft^3 = 87,782,080 cm^3

Answer: The answer is [tex](x+2)^2[/tex]

Step-by-step explanation:

Because  [tex](x+2)^2[/tex] means  [tex](x+2)(x+2)[/tex]

So we use the foil method to factor

First: [tex]x*x=x^2[/tex]

Outside: [tex]x*2=2x[/tex]

Inside: [tex]2*x=2x[/tex]

Last: [tex]2*2=4[/tex]

So we now write the following equation [tex]x^2+2x+2x+4[/tex]

Simplfied [tex]x^2+4x+4[/tex]

Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

Answer:

(i) 350 g; (ii) 18 m². This is done by using proportion

Step-by-step explanation:

168,581

________________________________________________________

Follow PEMDAS

Always start with the top of the list, parentheses. Prioritize anything in parentheses.

[tex](24,672 - 589)[/tex]

start in hundreds place, then subtract from there.

[tex](24,672 - 589) = 24,083[/tex]

Next, multiply by 7.

[tex]24,083 * 7 = 168,581[/tex]

________________________________________________________

Ask in the comments box.

Answer: Its 120 cm

Step-by-step-explenation:

All you have to do is multiply

3x2=6

6x5=30

30x4=120

Answer:

x =  12.714

Step-by-step explanation:

Vertical angles sum to 180 degrees

8x-12     + 6x + 14 = 180

   solve for x = 12.714

Answer:

I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest

Answer:

The correct option is C because it shows the accurate cosine rule

Equation to get the third side :  [tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

The correct option is C.

Given, that sides of triangle are 42 cm and 35 cm .

The third side can be found using the Law of Cosines,

[tex]c^2 = a^2 +b^2 - 2ab\times cos(C)[/tex]

where C is the angle opposite the third side (c) .

For the given side lengths, then the third side can be found .

Here,

a = 42

b = 35

∠C = 120°

Substitute the values,

[tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

[tex]c = \sqrt{1764 + 1225 + 1470} \\c = \sqrt{4456}\\c = 66.75[/tex]

Hence the third side is of 66.75 units.

The correct option is C .

Know more about cosine law,

https://brainly.com/question/30766161

#SPJ5

Answer:

4988 pounds

Step-by-step explanation:

Volume of Hemisphere

4/3 x π x r^3 = 4/3 x 3^3 x π = 4/3 x 27π = 36π = Volume of Sphere

To calculate volume of Hemisphere = 36π / 2 = 18π foot^3

Weight of the liquid

88.2 pounds / foot^3 means that every cubic foot weighs 88.2 pounds so

88.2 pounds x 18π = 4987.5925 which to the nearest pound = 4988 pounds.

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

To learn more about the solution visit:

https://brainly.com/question/1397278

Answer:

See below ↓

Step-by-step explanation:

Let the odd integers be :

Solving

Examples

Answer:

Let one odd number be (2n + 1)

Therefore, its consecutive odd number is (2n + 3)

Difference between the two squares of these numbers:

[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]

Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.